Cluster mutation via quiver representations
Authors:
- Aslak Bakke BuanABAslak Bakke Buan
- Robert J. MarshRMRobert J. Marsh
- Idun ReitenIRIdun Reiten
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Abstract
Matrix mutation appears in the definition of cluster algebras of Fomin and Zelevinsky. We give a representation theoretic interpretation of matrix mutation, using tilting theory in cluster categories of hereditary algebras. Using this, we obtain a representation theoretical interpretation of cluster mutation in case of acyclic cluster algebras of finite type.Keywords
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